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An LTI discrete-time system has the unit-impulse response.
h[n]=(-1)nu[n]
Consider the following input to the system.
x[n]=u[n]-u[n-3]
with zero initial conditions.
a) Find X[k], the 10 point DFT of x[n].
b) Find H[k], the 10 point DFT of h[n].
c) Compute the output response of the system y[n], 0 ≤ n ≤ 4, using the convolution sum.
d) Compute the output response of the system y[n], 0 ≤ n ≤ 4, using the DFT and IDFT.
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